12 men and 16 women can complete a job in 5 days. 13 men and 24 women can complete the same job in 4 days. How long, in days, will 5 men and 10 women take to complete the same job?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 20.
12m + 16w = 1/5 → 60m + 80w = 1
13m + 24w = 1/4 → 52m + 96w = 1
8m − 16w = 0 → m = 2w
now, 60m + 80w = 1 → 120w + 80w = 1 → w = 1/200, m = 1/100
5m + 10w = 5/100 + 10/200 = 1/20
Time = 1 ÷ (1/20) = 20 days